Lie-Yamaguti Algebras Research Articles

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Lie–Yamaguti algebras (or generalized Lie triple systems) are intimately related to reductive homogeneous spaces. Simple Lie–Yamaguti algebras whose standard enveloping Lie algebra is the simple Lie algebra of type G 2 are described, making use of the octonions. These examples reveal the much greater complexity of these systems, compared to Lie triple systems.